Daily Practice · Higher Plus

Daily Practice - Higher Plus

Grades 8-9 - exam-stretch algebra, geometry and reasoning.

5th August 2007

5 questions · 15 marks · Grades 8-9 · 51 question types in this band

1
Bounds3 marks
x = 160 and y = 132, each correct to the nearest whole number. Work out the upper bound of x - y.
2
Quadratic Inequalities3 marks
Solve x^2 + 11x + 30 > 0.
3
Direct and Inverse Proportion Depth3 marks
y is directly proportional to x^3. When x = 2, y = 32. Work out y when x = 5.
4
The Cosine Rule3 marks
A triangle has sides 8 cm, 9 cm and 12 cm. Work out the angle opposite the 8 cm side, to 1 decimal place.
5
Probability Equation Questions3 marks
A bag holds 5 red and n blue counters. The probability of taking a red is 5/7. Work out n.

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